My first time doing one of these, but here you go:
Base Dominion has 15 cards with this trait
Intrigue has 5 cards with this trait
Seaside has 2 cards with this trait
Alchemy has 1 card with this trait
Prosperity has 0 cards with this trait
Cornucopia has 0 cards with this trait
Hinterlands has 1 card with this trait
Dark Ages has 2 cards with this trait
1 Promo card has this trait
0 Base cards have this trait
+1 to whoever can tell me what I'm talking about for these sets.
You have to look at the actual cards to figure it out. The answer to this puzzle is a bit silly, but the answer is definitely not debatable. Good Luck!